Dynamical systems and their linear stability; 2. Topological chaos; 3. Liouvillian dynamics; 4.
Probabalistic chaos; 5. Chaotic scattering; 6. Scattering theory of transport; 7. Hydrodynamic …

A hyperbolic surface is a surface with geometry modeled on the hyperbolic plane. Spectral
theory in this context refers generally to the Laplacian operator induced by the hyperbolic …

We present an analysis of the properties as well as the diverse applications and extensions
of the method of stabilisation transformation. This method was originally invented to detect …

In recent years chaotic behavior in scattering problems has been found to be important in a
host of physical situations. Concurrently, a fundamental understanding of the dynamics in …

An interaction theory between an arbitrary electromagnetic shaped beam and assemblies of
spheres (and/or aggregates) is presented. This theory is built by the synthesis of two already …

The destruction of a chaotic attractor leading to rough changes in the dynamics of a
dynamical system is studied. Local bifurcations are known to be characterised by a single or …

The foundations of the chaotic scattering theory for transport and reaction-rate coefficients
for classical many-body systems are considered here in some detail. The thermodynamic …

The time evolution of probability densities of one-dimensional nonlinear vector fields is
studied using a Liouville equation approach. It is shown that the Liouville operator admits a …

Chaotic scattering systems with multiple exit modes typically have fractal phase space
boundaries separating the sets of initial conditions (basins) going to the various exits. If the …

A chaotic-scattering theory of diffusion in the Lorentz gas is presented. The scattering
process is considered on disk scatterers of increasing sizes. In this way, chaotic and fractal …